A ócm diameter shaft rotates at 3000rpm in a 20cm long bearing with a uniform clearance of 0.2mm. At steady operating conditions, both the bearing and shaft in the vicinity of the oil gap are 50°C. The thermal conductivity and the viscosity of the lubricating oil are k=0.17 W/m-K and u= 0.05 N-s/m², respectively. By simplifying and solving the differential continuity, momentum and energy equation, determine the maximum temperature of oil. (Hint: Couette flow) 0.2mm shaft 3000rpm rpm oil bearing 20 cm

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Kreith, Frank; Manglik, Raj M.
Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
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A 6cm diameter shaft rotates at 3000rpm in a 20cm long bearing with a uniform
clearance of 0.2mm. At steady operating conditions, both the bearing and shaft in the
vicinity of the oil gap are 50°C. The thermal conductivity and the viscosity of the
lubricating oil are k=0.17 W/m-K and u= 0.05 N-s/m², respectively. By simplifying and
solving the differential continuity, momentum and energy equation, determine the
maximum temperature of oil. (Hint: Couette flow)
0.2mm
shaft
3000rpm
rpm
6 сm
oil
bearing
20 cm
Transcribed Image Text:A 6cm diameter shaft rotates at 3000rpm in a 20cm long bearing with a uniform clearance of 0.2mm. At steady operating conditions, both the bearing and shaft in the vicinity of the oil gap are 50°C. The thermal conductivity and the viscosity of the lubricating oil are k=0.17 W/m-K and u= 0.05 N-s/m², respectively. By simplifying and solving the differential continuity, momentum and energy equation, determine the maximum temperature of oil. (Hint: Couette flow) 0.2mm shaft 3000rpm rpm 6 сm oil bearing 20 cm
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